论文标题
具有完整科里奥利力的浅水方程：组特性和相似性解决方案
Shallow-water equations with complete Coriolis force: Group Properties and Similarity Solutions
论文作者
论文摘要
具有完整科里奥利力的浅水方程的组特性是本研究的主题。特别是，我们使用谎言理论来根据公认的谎言点对称性对三个非线性偏微分方程的系统进行分类。对于分类问题的每种情况，确定一维最佳系统。结果应用于新的相似解决方案的推导。
The group properties of the shallow-water equations with the complete Coriolis force is the subject of this study. In particular we apply the Lie theory to classify the system of three nonlinear partial differential equations according to the admitted Lie point symmetries. For each case of the classification problem the one-dimensional optimal system is determined. The results are applied for the derivation of new similarity solutions.
